Final answer:
Option D, 8/7, is the correct answer as it an integer plus the unit fraction 1/7, therefore an integer multiple of 1/7.
Step-by-step explanation:
The question asks which of the following is an integer multiple of the unit fraction 1/7. To determine if an option is a multiple of 1/7, we can perform simple arithmetic checks:
- A. (1/7)^3 = 1/7 * 1/7 * 1/7 which will not result in an integer.
- B. 1/6 * 1/7 = 1/42 which is also not an integer.
- C. 2.8/7 is not an integer and also not in the form of an integer over 7.
- D. 8/7 is 1 plus 1/7 which simplifies to 1 + 1/7. Because 1 is an integer and 1/7 is the unit fraction we started with, 8/7 is indeed an integer multiple of 1/7.
Therefore, option D. 8/7 is the correct answer as it is an integer multiple of the unit fraction 1/7.